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Finding the Third Proportional to 208,184 and 311,706

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Solution

The third proportional to 208,184 and 311,706 is: 466,705.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,184 : 311,706 = 311,706 : x
  2. Step 2: Convert to fraction form
    208,184/311,706 = 311,706/x
  3. Step 3: Cross multiply
    208,184x = 311,706 × 311,706
  4. Step 4: Simplify right side
    208,184x = 97,160,630,436
  5. Step 5: Solve for x
    x = 97,160,630,436/208,184
  6. Step 6: Final answer
    x = 466,705.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.